Right triangle
A triangle that has a 90 degree angle
A right triangle is a geometric shape that has one angle that is a right angle, which is equal to exactly 90 degrees. The side opposite the right angle is called the hypotenuse, while the other two sides are referred to as the legs or catheti. The Pythagorean theorem applies to right triangles and states that the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²), where a and b are the legs and c is the hypotenuse.
One important property of right triangles that is used frequently in mathematics is the relationship between their angles. Specifically, the two non-right angles in a right triangle are complementary, meaning that their sum is equal to 90 degrees. This property can be used to solve for missing angles in a right triangle given the measurement of one of its angles.
Right triangles have many real-world applications, such as in architecture, engineering, and physics. For example, right triangles can be used to calculate the height of a building or the distance between two objects. They are also important in trigonometry, which is the study of the relationships between the angles and sides of triangles.
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